Question: Problem 2.11 Show that the lowering operator cannot generate a state of infinite norm (i.e., J la_y|dx < oo, if y itself is a normalized
Problem 2.11 Show that the lowering operator cannot generate a state of infinite norm (i.e., J la_y|dx < oo, if y itself is a normalized solution to the Schrdingeequation). What does this tell you in the case y = Yo? Hint: Use integration byparts to show thaty*(a+a-y) dx.Then invoke the Schrdinger equation (Equation 2.46) to obtainwhere E is the energy of the state y.
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